Answe problem 1-6

Problems 1 through 6 refer to the following situation: Traps baited with carbon-dioxide are typically used by scientists to measure the mosquito population. One study investigated whether temperature influences the number of mosquitoes caught in a trap: Six mosquito samples were collected on each of nine consecutive days. For each day, two variables were measured: average temperature (C') and average catch ratio (which is the average of the number caught in each sample divided by the largest sample caught): I : Average Temperature (OC) |16.8 15.0 |16.5 17 7 20.6 22.6 23.3 18.2 18.6 7/ : Average Catch Ratio .66 30 46 44 167 99 75 24 51 1) (8 pts) Draw the scatter diagram here: To answer the other questions, you need to know that there is a linear relation between temperature and catch ratio therefore the regression equation is relevant. 2) (6 pts) Calculate the equation of the regression line and write it here. Also, draw the regression line on the scatter diagram. Make a table of the z and y-values of the two points you plotted to draw the line. 3) (6 pus) Interpret the slope and y-intercept, if appropriate 4) (4 pts) Use the regression equation to predict average catch ratio when the average temperature is 21.0 .C 5) Compute and interpret R2. 6) Here is the residual plot. Explain why a linear model is appropriate for describing the relationship between temperature and catch ratio